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Dynamical modeling of nonlinear latent factors in multiscale neural activity with real-time inference
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Proposes MRINE, a nonlinear multiscale dynamical model that fuses Poisson spike and Gaussian LFP signals with different timescales and missing samples, supporting real-time recursive decoding via modality-specific LDMs and a multiscale LDM backbone.
Problem
Real-time decoding of target variables from multiple neural modalities (spikes and LFPs) that have different sampling rates, different distributions, and missing samples; existing nonlinear multimodal dynamical models assume a shared timescale and/or use non-causal inference.
Approach
A multiscale encoder that first learns within-modality LDMs (Kalman-filtered, which handle missing samples by predicting forward) on MLP-embedded modality observations, then nonlinearly fuses the filtered embeddings with an MLP; a multiscale LDM backbone then gives causal Kalman filtering, with Poisson/Gaussian decoders and smoothness regularization on learned distributions.
Key results
- On the NHP grid reaching dataset with 5 spike and 5 LFP channels, MRINE reached 0.487 decoding accuracy versus 0.450 for the next-best baseline mmPLRNN.
- On the NHP center-out reaching dataset with 20 spike and 20 LFP channels, MRINE reached 0.649 versus 0.601 for MMGPVAE.
- Adding 20 LFP channels to 5 spike channels improved grid-reaching decoding accuracy by 14.7%, and adding 20 spike channels to 5 LFP channels improved it by 49.8%.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Fuse 20 LFP channels with 5, 10, or 20 spike channels | MRINE · NHP grid reaching | behavior decoding accuracy: 14.7%, 10.4%, and 5.3% | Helped |
| Fuse 20 LFP channels with 5, 10, or 20 spike channels | MRINE · NHP center-out reaching | behavior decoding accuracy: 47.3%, 24.4%, and 9.8% | Helped |
| Fuse 20 spike channels with 5, 10, or 20 LFP channels | MRINE · NHP grid reaching | behavior decoding accuracy: 49.8%, 34%, and 29.6% | Helped |
| Fuse 20 spike channels with 5, 10, or 20 LFP channels | MRINE · NHP center-out reaching | behavior decoding accuracy: 30.1%, 21.6%, and 20.6% | Helped |
| Use multiscale encoder rather than zero-imputation for missing samples (ablation) | MRINE · NHP reaching datasets | behavior decoding accuracy | Helped |
| Include smoothness regularization (ablation) | MRINE · Datasets in smoothness ablation | decoding performance | Helped |
| Include smoothed reconstruction (ablation) | MRINE · Datasets in smoothness ablation | decoding performance | Helped |
| Use time-dropout during training (ablation) | MRINE · NHP reaching datasets with missing samples | behavior decoding performance robustness | Helped |
Surprising findings
- Zero-imputing missing LFP samples, a common practice, degraded performance of baselines such as mmPLRNN and MMGPVAE, while MRINE's degradation with differing timescales was smaller.
Limitations
- Assumes time-invariant multiscale dynamics, which may not hold for non-stationary data.
- Models may need intermittent retraining across days or sessions.
- Requires careful tuning of multiple smoothness regularization scaling hyperparameters.
Experimental setup
Datasets: stochastic Lorenz attractor simulations NHP grid reaching spike-LFP dataset NHP center-out reaching spike-LFP dataset neuropixel and calcium imaging visual cortex dataset
Benchmarks: NHP grid reaching NHP center-out reaching visual cortex frame ID decoding
Metrics: correlation coefficient R^2 latent reconstruction correlation
Baselines: MVAE MSID mmPLRNN MMGPVAE CEBRA
Builds on: DFINE mmPLRNN MSID MMGPVAE MVAE
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